Highest Common Factor of 814, 490, 581 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 814, 490, 581 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 814, 490, 581 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 814, 490, 581 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 814, 490, 581 is 1.
HCF(814, 490, 581) = 1
HCF of 814, 490, 581 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 814, 490, 581 is 1.
Highest Common Factor of 814,490,581 is 1
Step 1: Since 814 > 490, we apply the division lemma to 814 and 490, to get
814 = 490 x 1 + 324
Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 324 and 490, to get
490 = 324 x 1 + 166
Step 3: We consider the new divisor 324 and the new remainder 166, and apply the division lemma to get
324 = 166 x 1 + 158
We consider the new divisor 166 and the new remainder 158,and apply the division lemma to get
166 = 158 x 1 + 8
We consider the new divisor 158 and the new remainder 8,and apply the division lemma to get
158 = 8 x 19 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 814 and 490 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(158,8) = HCF(166,158) = HCF(324,166) = HCF(490,324) = HCF(814,490) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 581 > 2, we apply the division lemma to 581 and 2, to get
581 = 2 x 290 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 581 is 1
Notice that 1 = HCF(2,1) = HCF(581,2) .
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Frequently Asked Questions on HCF of 814, 490, 581 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 814, 490, 581?
Answer: HCF of 814, 490, 581 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 814, 490, 581 using Euclid's Algorithm?
Answer: For arbitrary numbers 814, 490, 581 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
